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A 30-kg child is standing on the outer edge of a merry-go-round which has a moment of inertia of 1104 kg\cdot m^2 and a radius of 2.4 m. The entire system is initially rotating at 0.180 rev/s. What is the angular velocity (in rev/s) if the child moves to a final position 1.1 m from the center of the merry-go-round?
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An isolated conducting spherical shell of radius 6.40 cm has a charge of 3.40 nC. Find the electric field at a radius of 4.80 cm from the center.
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Lester, Inc. pays an annual dividend of $4.40. The dividend yield is 8.8 percent. What is the price per share?
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The free cash flow valuation model includes the firm's value of operations plus its free cash flow. A. True B. False
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Why does taking the integral of $\sin(x)$ from $0$ to $2\pi$ yield $0$, while evaluating $\sin(x)$ at $x=2\pi$ and $x=0$ gives $0$? Why is the Fundamental Theorem of Calculus applicable to indefinite integrals like $\sin(x)dx=\cos(x)+C$, but not to definite integrals like $\int_0^{2\pi} \sin(x)dx$?
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Which of the following statements is true? a. This is a test regarding two dependent samples. There is sufficient evidence to conclude that the mean price of textbooks is lower at seller A. b. This is a test regarding two dependent samples. There is insufficient evidence to conclude that the mean price of textbooks i...
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Dozier Corporation reported the following information for the month of December: Date Explanation Units Unit Cost Total Cost December 1 Inventory 280 $5.00 $1,400 12 Purchases 550 $5.10 $2,805 23 Purchases 660 $5.20 $3,432 December 31 Inventory 290 $5.30 $1,537 A physical count of inventory o...
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A company had the following data: Planned and actual production 40,000 units Sales 37,000 units at $15 per unit Production costs: Variable $4 per unit Fixed $260,000 Selling and admin costs: Var $1.00 per unit Fixed: $32,000 The contribution margin that the company would disclose on an absorption-costing income sta...
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How many grams of solid Mg(OH)2 (58.32 g/mol) should be added to 1.0 L of 0.124 M HF to make a buffer with a pH of 4.00? Ka(HF) = 3.7 x 10^-4. Express the answer in grams to three significant figures.
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According to the long-run Phillips curve, a. an increase in the unemployment rate will cause inflation to decrease. b. a decrease in the unemployment rate will cause inflation to decrease. c. a decrease in the unemployment rate will have no impact on inflation. d. an increase in the unemployment rate will cause inf...
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The performance bond represents approximately what percentage of the total bid price? a. 33% b. 10% c. 5% d. 45% e. 7.5%
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Suppose that at a profit maximizing output, a monopolist has ATC = 22, AVC = 8, and MC = 14. Now suppose that the variable costs in the industry increase due to increasing capital and labor costs. Also, suppose that the local government decides to try to help this monopolist by cutting property taxes, which are a fixed...
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I would like to show that the sum of squared errors in linear regression is a minimum with respect to beta. Given $Y=XB+E$, we define the residual sum of squares as $$SSE=\sum_{i=1}^n(y_i-b_0-b_1x_i)^2$$ I would like to take the partial derivative with respect to $b_1$, set it equal to zero, and solve. I'm having a bit...
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Suppose there are two types of consumers in a market for a good, each type making up 50% of the market. The two types have different demand functions: {eq}Q = 100 - 100P {/eq} for type A {eq}Q = 100 - 50P {/eq} for type B If the firm is unable to price-discriminate (e.g., because there is no way to prevent resale ...
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For this scenario, the amount of inventory that will be shown on the balance sheet is: Assume Smith & Company manufactures tables for home office use. Each table sells for $47.00. Variable costs per unit total $27.50. Fixed costs total $210,000. Smith & Company expects to sell 16,000 tables. a. $27.50 b. $15.50 c. ...
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Please show all work. James Equipment is considering the purchase of a new machine. James is evaluating the machine's net present value. James estimates that the new machine will save $100,000 in cash operating costs every year for 10 years. The machine has an 8% cost of capital and an 8 year life. James estimates that...
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A sample of 40 office workers had an average salary of $55,000 and a sample standard deviation of $8,000. Using the confidence coefficient formula, what is the 90% confidence interval for the population mean salary?
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Koontz Company's last dividend was $1.35. The dividend growth rate is expected to be constant at 5.5% for 2 years, after which time, dividends are expected to grow at a rate of 8.0% forever. The firm's required return is 12.0%. What is the best estimate of the current stock price? a. $19.90 b. $22.88 c. $20.81 d. $...
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At the beginning of the year, Simon Company had 16,000 units of work in process inventory that were 50% complete. The company had no units of finished goods inventory on this date. Simon Company started 21,000 units this year and completed and transferred 24,000 units. Simon Company also had 13,000 units of work in pro...
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What is the NPV of the following set of cash flows, given a discount rate of 10%? Year 0: -$50,000 Year 1: $15,000 Year 2: $17,000 Year 3: $20,000 Year 4: $23,000 A. $5,584.49 B. $8,034.92 C. $9,871.12 D. $12,600.00
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The minimum inhibitory concentration is the: a) Lowest concentration of drug required to prevent growth of the organism. b) Highest concentration of drug required to prevent growth of the organism. c) Consequence of the appearance of a previously treated infection for which the patient has become resistant to the dr...
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I want to check the convergence of $\int_{0}^{\infty} \dfrac{x}{e^x-1} \mathrm dx$. I know that $\int_{0}^{\infty} \dfrac{x}{e^x} \mathrm dx =1 $. So, can I say that $\int_{0}^{\infty} \dfrac{x}{e^x-1} \mathrm dx $ is divergent because $\int_{0}^{\infty} \dfrac{x}{e^x-1} \mathrm dx \ge \int_{0}^{\infty} \dfrac{x}{e^x} ...
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Find the work done by the force field F=(y² + x³/√(1+x²))i + (x³ + y²/√(1+y²))j in pushing a particle counterclockwise once around the circle x²+y²=4.
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ACME's Bonds have a $1,000 face value and a 7% coupon rate. They mature in 15 years and have a YTM of 8.5%. What is their price? (Round your answer to the nearest dollar.) Price $
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Choose a control plan that would best prevent the following system failure from occurring. Supplies and/or equipment are shipped to customers but are never received. As a result, invoices for the goods are never paid. A. Batch sequence check B. Confirm input acceptance C. Programmed edit checks D. Manual agreem...
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The medical center offers a free screening event for its clients every month. A typical attendee has an implied price of $10 for each screening and the marginal cost is $8. If the center has 500 seats available and there are 600 people who want to attend, what is the marginal benefit of filling all 500 seats? a. $2 pe...
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I have trouble simplifying $(\alpha n + 3)^{\alpha n^2}$ to something that shows its $O(n^k)$ for some $k$.
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John owns a two-stock portfolio that invests in Colonial Communications (COLL) and Shaw-Wilcox Oil (SWO). {eq}\$15,000 {/eq} is invested in COLL, which has a beta of {eq}1.35 {/eq}, and {eq}\$25,000 {/eq} is invested in SWO, which has a beta of {eq}0.85 {/eq}. What is the portfolio's beta?
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Consider an asset that costs $685,700 and is depreciated straight-line to zero over its 9-year tax life. The asset is to be used in a 4-year project; at the end of the project, the asset can be sold for $137,000. If the relevant tax rate is 32 percent, what is the after-tax cash flow from the sale of this asset?
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Suppose $p$ is the price of a commodity and $x$ is the number of units in demand. The demand equation for this product is $$ p^2 = 100x $$ Find the instantaneous rate of change of price $p$ with respect to the number of units in demand $x$ when the demand is $x = 500$. Give your answer exactly, as a fraction of integer...
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Which of the following options is correct? According to the substitution effect, an increase in the wage rate will lead the worker to A. work more hours if leisure is a normal good. B. work more hours if leisure is an inferior good. C. work fewer hours if leisure is a normal good. D. work fewer hours if leisure is...
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Consider a firm with a stock price of $25 per share. The firm has earnings of $1.50 per share. What is the P/E ratio for this firm? A. 16.67 B. 14.17 C. 17.33 D. 15.00
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Consider a 2 year 3 bond making annual coupon payments of 50 if the market yield on this bond is 10 what is the market price of the bond
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Let f(x) = {eq}3x^2{/eq} and {eq}\, g(x) = 2e^x.{/eq} Use integration by parts to evaluate {eq}\, \int\limits_0^1 f(x)g'(x) \, \mathrm{d}x \,{/eq} and {eq}\, \int\limits_0^1 f'(x)g(x) \, \mathrm{d}x.{/eq}
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Woolcrest Corporation's financial statements for its first year of operations are presented below: WOOLCREST CORPORATION Income Statement For the Year Ended December 31, 20xx Sales (all on account) $ 1,200,000 Cost of goods sold 864,000 Gross margin 336,000 ...
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Royal Petroleum Co. is evaluating a proposal to purchase a new production machine. The machine would have a useful life of 10 years. The purchase cost of the machine is {eq}\$300,000 {/eq} and its salvage value of {eq}\$30,000 {/eq}. Based on the following estimates of the machine's performance and a discount rate of...
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A non-dividend-paying stock is currently trading at $100. For the next three months, the price of the stock will either go up by 10% or down by 5%. If the risk-free interest rate is 12%, what is the option price of a one-year European call option with a strike price of $100?
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Is there a quick way to show that $$ |z_1+z_2|^2 - |z_1|^2-|z_2|^2 = 2\cdot \text{Re}(z_1\bar{z_2})$$ without expanding and using the properties $z\bar{z} = |z|^2$ and $\text{Re}(z)=\frac{z+\bar{z}}{2}$?
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Harris Company earned revenues of $35,000 and incurred expenses of $45,000. The company also reported an unrealized holding loss on available-for-sale securities in the amount of $15,000. The company had no other gains or losses during the period. The tax rate was 40%. The company has not issued any bonds or notes. I...
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Consider a project that requires an initial investment of $25,000 and is expected to produce cash inflows of $7,500 in year one, $15,000 in year two, and $10,000 in year three. Calculate the IRR for the project using the NPV formula. A. 25% B. 12.17% C. 14% D. 7.50%
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Compute the integral {eq}\int_{-2}^3 (x-2)|x-1| dx{/eq} using the limits theorem. Use an appropriate partition and an approximation by Riemann sums.
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If a country has a trade surplus, then which of the following is true? A. X > M. B. X = M. C. X < M. D. X ≥ M. E. X ≤ M.
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ABC Company has a single machine that it uses for a job. The company is considering eliminating the machine and adding more dining tables. Segmented contribution income statements are as follows: Restaurant Bar Total Sales $600,000 $200,000 $800,000 Vari...
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The current market value of a U.S. based company is $150 million. The market value of the foreign subsidiary is expressed in millions of lira as: Market Value = 100.000 x FC (Yen) The parent company's cost of capital is 8.0 percent and its required rate of return is 15.0 percent. The foreign currency expected exchang...
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Bonds payable on December 31, 2016, 200,000 Bonds issued on June 30, 2018 100,000 What is the carrying amount of the Bonds Payable account on December 31, 2018?
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The number of trees in a forest is given by {eq}P(t)=12000e^{-0.25t} + 500t^2 + 200t{/eq}, where {eq}t{/eq} is the number of years. How many trees will be in the forest when there are 10,500 trees? (Round to the nearest year)
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Does $n \Bbb Z \subseteq \Bbb R$?
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An iron ore sample is analyzed for iron content by dissolving it in acid, converting the iron to {eq}Fe^{2+} {/eq} and then titrating with standard {eq}0.0150\ M\ K_2Cr_2O_7 {/eq} solution. If {eq}32.05\ mL {/eq} is required to titrate the iron in a {eq}1.7221\ gram {/eq} ore sample, how much iron is in the sample,...
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You want to quit your job and go back to school for a law degree 4 years from now and you plan to save $3,500 per year, beginning immediately. You will make 4 deposits in an account that pays 5.7% interest, compounded annually. Under these assumptions, how much will you have 4 years from today?
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On January 1, 2010, the ABC Corp borrowed $10,000 for 4 years at an annual interest rate of 8%. The loan requires that the entire principal be repaid at the end of the fourth year. The interest for this note is payable annually at December 31st. What entry should ABC Corp make to record the payment of interest at Decem...
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A 100mm wide plate has a hole drilled through the center. The plate dimensions are L=400mm and H=300mm. The plate is composed of a material with the stress-strain curve shown. The plate is used to support a load P=300kN. Determine the maximum stress acting on the plate. Please specify your answer in MPa to three signif...
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AB Co. has 30,000 units of its only product in inventory, which cost $13 per unit. The product has become obsolete and is offered for sale for $12 per unit. A special label has already been purchased by the company for $77,000 to place on the units. If AB Co. accepts the offer, what will be the effect on net income? A...
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Accounting standards for state and local governments are developed by the A. Financial Accounting Standards Board. B. Governmental Accounting Standards Board. C. Federal Accounting Standards Advisory Board. D. American Institute of Certified Public Accountants.
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High Adventure Corp. issues $200,000 of 9%, 10-year bonds for 100. High Adventure uses the straight-line method to amortize any bond discounts or premiums. The bonds pay interest semiannually. What is the journal entry for the payment of the semiannual interest and the amortization of any bond discounts or premiums on ...
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I know that the FFT of a square wave is a series of Dirac delta functions at integer multiples of the fundamental frequency. I am using a sampling frequency of 44100 and a square wave of 1000Hz amplitude. I want to represent this square wave in the frequency domain using the Dirac delta functions. If I take the FFT of ...
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If your opportunity cost is 9%, how much would you be willing to pay for an annuity that pays out $1,000 per year for the next five years, given the following payment schedule: Year 1 $500 Year 2 $500 Year 3 $500 Year 4 $1,000 Year 5 $1,000
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Please find the profitability index of a project if the initial costs are $2,388,992, the project life is estimated as 5 years, the net cash inflows at the end of each year are $422,350, $472,722, $698,961, $454,028, and $217,924 respectively, and the discount rate is 13%.
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Assume ABC Co. uses the perpetual inventory method and engaged in the following transactions: (i) Purchased $10,000 of merchandise on account under terms 2/10, n/30. (ii) Returned some of the merchandise purchased in (i). (iii) Paid the account payable in (ii) within the discount period. (iv) Sold the merchandise f...
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The preliminary design for a new product calls for an investment in new equipment and a redesign of an existing piece of equipment. The product design is developed and the start of production is approved. Several people are assigned to evaluate the investment and the expenses related to the redesign. Which process is p...
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Evaluate the following integral: {eq}\int e^{-0.21x} \sin (0.1x) dx
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Oxidation of 150 mg of 9-fluorenol with a 6.25% (wt/vol) solution of commercial bleach (NaOCl) (which is 10.0% NaOH) required 1.08 mL of bleach. Calculate the percentage of 9-fluorenol in a sample that required 1.21 mL of bleach solution in a similar experiment.
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The Wildlife division of General Enterprises has a positive residual income of $540,000. The Wildlife division manager is contemplating an investment opportunity that would increase this positive amount to $600,000. The investment: A. should not be pursued because it is unattractive from both the divisional and corpor...
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A particle of mass m and velocity v strikes a stationary particle of mass M and sticks to it. If the speed of the combined particle is 4v/(5+2m/M), the value of M is A) 4m B) 5m C) 6m D) 7m
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A company's post-closing trial balance contained the following: Deferred Tax Asset {eq}\; \$100,000 {/eq} Variance Analysis {eq}\; \$12,000 {/eq} Tax Expense {eq}\; \$32,000 {/eq} Income Tax Payable {eq}\; \$30,000 {/eq} What is the correct entry to record the company's annual income tax expense? A) {eq}\begi...
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The following table contains information on the sensitivity of three stocks to the three-factor model. The risk-free rate is 2%, and the risk premiums are 9% for each factor. Factor F1 F2 F3 Beta 1.93 2.18 -0.53 0.63 2.01 0.21 1.51 1.03 1.10 Calculate the expected return for each of the three stocks.
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Use the Ratio Test to determine the convergence of the following series: {eq}\sum_{n=1}^{\infty} \frac{(-1)^n(n^4)}{n!} {/eq}
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Consider a seller who must sell a single private value good. There are two potential buyers, each with a valuation that can take on one of three values, {eq}\theta_i {/eq} {eq}\in {/eq} {eq}\{0,1,2\} {/eq}, each value occurring with an equal probability of {eq}\frac{1}{3} {/eq}. The players' values are independently d...
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Sketch the region enclosed by y=2e^x, y=2xe^x, and x=2 and find the area of the region.
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A 50.0 mL sample of 0.10 M {eq}CH_3NH_2 {/eq} is titrated with 0.10 M {eq}HClO_4 {/eq}. Determine the pH after the addition of 50.0 mL of {eq}HClO_4 {/eq}.
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Earls, Inc.'s bonds have a 15-year maturity and a 6% annual coupon paid semiannually. The bond currently sells for $1,000. The bond has a 6% yield to maturity (YTM). What is the bond's effective annual yield (EAY)?
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Suppose you observe the following situation: Security Beta Standard Deviation Pete Corp. 0.95 17 percent Repete Co. 1.18 23 percent Assume these securities are correctly priced. Based on the information, what is the expected return on the market?
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A spring-mass-dashpot system is driven harmonically with the following parameters: m = 150 kg, k = 1250 N/m, c = 250 Ns/m, F0 = 1000 N, w = 10 rad/s. Assuming that the dashpot is connected in series with the mass, and that the amplitude of the steady-state response is X=0.471 m, what will the amplitude of the steady ...
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What must the coupon rate be on Merton's bonds if they have 13 years to maturity and are selling for $948, yielding 10%?
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What is the probability that a random sample of 40 households will have a mean of more than $275 if the mean of a state's households is $220 with a standard deviation of $60?
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In the Wall Street Journal, you read that the "economists preferred a fiscal package that involves an increase in spending of $200 billion and a one-time tax cut of $400 billion." Assuming this statement is correct, the marginal propensity to consume is: a) 0.5 b) 0.8 c) 0.125 d) 2.0 e) None of the above.
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A process is in control with μ = 10.0 and σ = 2.0. If only 0.1% of the output is normally considered defect-free, what should the LCL be? Assume that the distribution is normal. A. 4.16 B. 6.31 C. 6.75 D. 5.85 E. None of the above
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I am given a recurrence sequence, such as $x_{n+1}=px_n+qy_n, y_{n+1}=ry_n+sx_n,$ and I am asked to find the limit of $x_n/y_n$. I am given the following hints: $x_{n+2}=(p^2+sr)x_n+(2pr+ps+rq) x_{n+1}+(qr+ps+sr^2)y_n$ and $y_{n+2}=(p^2+sr)y_n+(2pr+ps+rq) y_{n+1}+(ps+q+2sr)x_n$. My reasoning is as follows: Let $\displa...
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Use Green's Theorem to evaluate the line integral {eq}\oint_{c}^{} 3ydx + 4xdy {/eq} Where {eq}C {/eq} is the triangle with vertices {eq}(0,0) (1,0) {/eq} and {eq}(1,2) {/eq}, oriented counterclockwise.
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Which of the following statements is true regarding the two measures of price, yield, and cash flow volatility? Select one: a. Price volatility is always higher than yield volatility and usually increases as maturity increases. b. Price volatility is always lower than yield volatility and usually decreases as maturit...
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Calculate the pH during the titration of 50.0 mL of 1.02 M {eq}NH_3 {/eq} with 0.51 M {eq}HCl {/eq} at the point where 61.1 mL of {eq}HCl {/eq} has been added.
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If demand is relatively inelastic, which of the following is true? a. A decrease in price will result in a decrease in total revenues. b. An increase in price will result in a decrease in total revenues. c. An increase in price will result in an increase in total revenues. d. A decrease in price will result in an i...
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Consider a spherical metal of radius 5 cm with its center at the origin. There is a charge of 20 μC at (2, 0, 0) cm. The electric field at (8, 0, 0) cm is most nearly a) 400,000 V/m b) 285,714 V/m c) 242,857 V/m d) 150,000 V/m e) none of the above
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An increase in a firm's expected growth rate would normally cause its required rate of return to a. Increase. b. Decrease. c. Stay constant. d. Possibly increase, possibly decrease, or possibly have no effect.
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The production function f(x1, x2) = min{x1, 5x2} exhibits: a. diminishing returns. b. decreasing returns to scale. c. increasing returns to scale. d. constant returns to scale. e. diminishing returns and decreasing returns to scale.
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For the function f(x) = e^{cos(x)}, what is the inflection point?
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On June 20, 2018, Meier Inc. placed $4,000,000 of 10-year, 8% bonds issued by Meier. The bonds were priced at par, and interest and discount or premium are accrued at year-end. What entry should Meier record on December 31, 2018? The current year-end is December 31, 2018. a) Interest Expense$240,000 Discount on Bonds ...
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Sovereign bonds with a 5.5% annual coupon rate (coupon payments are made semi-annually) have 7 years of maturity. If the price of the bond is $103, what is the annual nominal yield to maturity on the bond? a. 5% b. 5.2% c. 5.4% d. 5.5%
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The parametric equations {eq}x=1+3\sqrt{t} {/eq} {eq}y=2-2\sqrt{t} {/eq} {eq}z=t {/eq} determine a line segment. Find parametric equations in terms of parameters s and t that determine the entire line.
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Find the volume of the solid under the surface $z=3xy$ and above the triangle with vertices $(1,1), (4,1)$, and $(1,2)$.
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The base peak for the mass spectrum of 2,2,5,5-tetramethyl-3-hexanol is at m/z= 57. Based on this information, determine the structure of the most stable cation formed in the mass spectrometer.
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If the population standard deviation is known then the required sample size is selected so that the margin of error of the confidence interval for the population mean is less than the given value. A required sample size to be selected so that the margin of error of the confidence interval for the population mean is les...
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Which of the following accounts is not a control account in the standard general ledger at the end of the period? a. Cost of Goods Sold b. Work in Process Inventory c. Raw Materials Inventory d. Manufacturing Overhead
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Lester Corporation pays its employees weekly. They earn $2,000 of wages each week. Lester uses the cash method of accounting. Which of the following would Lester report on its income statement for the current week? a. wages expense, $14,000 b. wages expense, $2,000 c. wages payable, $14,000 d. wages payable, $2,00...
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The margin of safety ratio is calculated by dividing which of the following? A) current sales - break-even sales by current sales B) current sales - break-even sales by break-even sales C) contribution margin by fixed expenses D) sales revenue by variable expenses
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Find the exact length of the curve. x = (y^3)/6 + 1/(2y), 2 ≤ y ≤ 3
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Selected financial data for H.2O Company for the first quarter of this year are as follows (in thousands): Sales: $1,600 Cost of goods sold: $1,000 Gross profit: $600 Depreciation: $50 EBIT: $550 Interest expense: $55 EBT: $495 Income taxes: $99 Net income: $396 Assume the data given are correct and that H.2O...
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The fixed portion of the semi-variable cost of electricity for a manufacturing plant is a: Period cost Product cost a. Yes No b. Yes Yes c. No Yes d. No No
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X and Y are contesting in an election. 82% of the population supports X. The rest support Y. An X-supporter votes with probability 0.38, and a Y-supporter votes with probability 0.83. What is the probability of X's win?
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Xr(t) is a wide sense stationary process. Find the mean of the process {eq}Yr(t) = (Xr(2t) - Xr(t))^2.
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Ayayai Corp. has $100,000 of loss from its $150,000 gross passive loss business activity for the year. The passive activity was operated with the consent of Ayayai's owners. Ayayai has $30,000 of income from operations of another passive activity that was not operated with the consent of Ayayai's owners. Ayayai also ha...
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